A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?
1.)The 99% confidence interval is from about 81.43 to 90.58 miles.
2.)The 95% confidence interval is from about 82.87 to 88.33 miles.
3.)The margin of error for 95% confidence is about 2.52 miles.
4.)The sample isn’t large enough to use a normal distribution.
5.)The margin of error for 99% confidence is about 3.59 miles.
There are multiple answers

Answer:

12:15 is NOT proportional to 3:4

Step-by-step explanation:

7.5:10 is proportional to 3:4 because 3×2.5=7.5, and 4×2.5=10.

39:52 is proportional to 3:4 because 3×13=39, and 4×13=52

45:60 is proportional to 3:4 because 3x15=45, and 4×15=60

12:15 is not proportional to 3:4 because while you can multiply 3x4=12, you can not multiply 4×4 to get 15, you get 16 instead.

the answer to your question is D.12:15

Answer:

18

Step-by-step explanation:

6 friends times 5 cookies is 30 cookies in total

30 cookies minus 12 cookies already made is 18!

Answer: 18 cookies

Step-by-step explanation:

Tara invites 6 friends, each friend gets 5 cookies.

So, 6 x 5 to find how many cookies are for 6 friends.

6 x 5

= 30 cookies

Tara only has 12 cookies. How much more does she need?

Everyone should get 30 cookies, but there is only 12.

Subtract to find the difference!

30-12=18

Answer:

1. 142

2. 38

3. 142

5. 142

6. 38

7. 142

8. 38

Step-by-step explanation:

Angles across from another angle in an x have the same value

A line has an angle of 180º so the angle on the other side of a split line is whatever angle would make it add up to 180

180º - 38º = 142º

If possible is to impossible then certain is to uncertain..

Answer:

its easy answer is certain

Answer:

it's 8

Step-by-step explanation:

(10×1/5)^3=2^3=8

Answer:

The answer is 8!

Step-by-step explanation:

Subtract the like terms.  As you can see, the 10 in the numerator and denominator have the same base.  Therefore, you can subtract the exponents, which would be 10^1, or 10.  You would do the same for 5, which would be 5^-1, or 1/5.  You would then make this one fraction, the 10 and 5.  The fraction would be 10/5, or 2 once simplified.  Now, don't forget the outside parentheses!  You would do 2^3, and your final answer would be 8.  Hope this helps!

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Explanation:

H = heads

T = tails

Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.

Those 8 outcomes are:

Again the order matters.

------------

Now let's define the following events

There's only one way to get three heads, and that's HHH. So P(A) = 1/8.

There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.

From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.

Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:

From here, multiply the probability values with their corresponding net values

Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75

Each time a turn happens, we expect on average to get 0.75 points

Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.

Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.

Answer:

Area of new garden = 800 ft²

Step-by-step explanation:

Given:

Old fencing = Parameter of old garden = 60 ft

Area of old garden = 200 ft

Find:

Area of new garden if Parameter of new garden is 120 ft

Computation:

Assume;

Length of old garden = l

Width of old garden = b

So,

2[l + b] = 60

l + b = 30

l = 30 - b

Area of old garden = 200 ft

l x b = 200

So,

(30 - b)b = 200

b² - 30b + 200 = 0

b² - 20b - 10b + 200

b(b-20) - 10(b-20)

(b-20)(b-10)

So,

Width of old garden = 10 ft

Length of old garden = 20 ft

New parameter is double

So,

Width of new garden = 10 x 2 = 20 feet

Length of old garden = 20 x 2 = 40 feet

Area of new garden = l x b

Area of new garden = 20 x 40

Area of new garden = 800 ft²

Answer:

x= -18 y=-5/3

Step-by-step explanation:

Answer:

x = -10

y = -3

Step-by-step explanation:

When combining the equations, we must ensure that one of the two variables will cancel out. The easiest way to do this will be to multiply one of the equations by -1, such that the x will cancel out once they are added together. This can be done with either equation, but I will do it for the first one.

This gives us the system:

[tex]\left \{ {{-x-2y=16} \atop {x+6y=-28}} \right.[/tex]

We can then add the two equations by combining each of the terms:

[tex](x - x) + (6y - 2y) = (-28 + 16)\\(0) + (4y) = (-12)\\4y = -12\\y = -3[/tex]

Now that we have the value for y, we substitute it back into any of the original equations and solve for x:

[tex]x + 2y = -16\\x + 2(-3) = -16\\x - 6 = -16\\x = -10[/tex]

To check our work, we substitute both x and y into the other original equation:

[tex]x + 6y = -28\\(-10) + 6(-3) = -28\\-10 - 18 = -28\\-28 = -28[/tex]

Answer:

Step-by-step explanation:

Answer:

solution given:

[tex] \sqrt{144 {x}^{6} {y}^{8} {z}^{7} } = \sqrt{(12 {)}^{2}( {x}^{6} ) {y}^{8} ( { {z}^{1} })^{6} } = 12 {x}^{3} {y}^{4} {z}^{3} \sqrt{z} [/tex]

is your answer.

Answer:

13 cm

Step-by-step explanation:

just took the test

Answer:

x = -7

Step-by-step explanation:

9 ( x - 5 ) = -108

9x - 45 = -108

add 45 to each side of the equation:

9x = -63

divide both sides by 9:

x = -7

Answer:

x = - 7

Step-by-step explanation:

9(x - 5) = - 108

9x - 45 = - 108

9x - 45 + 45 = - 108 + 45

9x = - 63

9x ÷ 9 = - 63 ÷ 9

x = - 7

Answer:

She would use the mean.

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Set 1:

med: 76, Range: 50-65= 15IQR: 77-73= 4

find the median, range, and IQRfor each data set.

Set 2:

med: 60, Range: 68-55= 13,IQR: 63-59= 4

76- 60 =16

find the difference of the medians 16 is 4 times 4

so the difference of the medians is 4 times the IQR

----------------------------

hope it helps...

have a great day!!

Answer:

52, 61 and 70

Step-by-step explanation:

Given

[tex]Divisor = 9[/tex]

[tex]Remainder = 7[/tex]

Required

Determine first 3 possible dividends

The relationship between the [tex]dividend,\ divisor,\ quotient\ and\ remainder[/tex] is:

[tex]Dividend = Divisor * Quotient + Remainder[/tex]

Substitute: [tex]Divisor = 9[/tex] and [tex]Remainder = 7[/tex]

[tex]Dividend = 9* Quotient + 7[/tex]

Since the Dividends must be greater than 50, then the values of the quotient will be 5, 6 and 7

So, we have:

[tex]Dividend = 9* 5 + 7 = 45 + 7 = 52[/tex]

[tex]Dividend = 9* 6 + 7 = 54 + 7 = 61[/tex]

[tex]Dividend = 9* 7 + 7 = 63 + 7 = 70[/tex]

Hence, the three numbers are: 52, 61 and 70

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

Answer and Step-by-step explanation:

Work in Picture:

#teamtrees #PAW (Plant And Water)

yeah the answer is B

how did you send a request

Answer:

4

Step-by-step explanation:

the area of a square = length²

16 = length²

find the square root of both sides of the equation

length = 4

Answer:

Convert fraction (ratio) 298 / 347 Answer: 85.878962536023% so round it up to 86%

Step-by-step explanation:

took the test

Answer:

29

Step-by-step explanation:

2x + 122 = 180

2x = 180 - 122

2x = 58

x = 29

Answer:

The first step is to find the volume of the two hemispheres.

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]

Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.

Volume of sphere

[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]

[tex] = 2304\pi \: in^{3} [/tex]

Volume of solid

= volume of cylinder -volume of 2 hemispheres

Let's find the volume of the cylinder.

[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]

Volume of cylinder

[tex] = \pi( {12}^{2} )(24)[/tex]

[tex] = 3456\pi \: in^{3} [/tex]

Thus, volume of solid

[tex] = 3456\pi - 2304\pi[/tex]

[tex] = 1152\pi[/tex]

[tex] = 1152(3.14)[/tex]

[tex] = 3617.28 \: in^{3} [/tex]

Answer:

Volume of solid = Volume of Sphere - Volume of cylinder

Volume = 4/3πr³ - πr²h

Volume = 4/3 • π • 12³ - π • 12² • 24

Volume = 4/3 • π • 1728 - π • 144 • 24

Volume = 4 • π • 576 - π • 3456

Volume = π(3456 - 2304)

Volume = π(1152)

Volume = 3619.11 in³

[tex] \\ [/tex]

Answer:

I think the answer is B.

Step-by-step explanation:

Answer:

3.81238067 × 10-46 m4 kg2 s-4 K-2

Step-by-step explanation:

Answer:

bolded

Step-by-step explanation:

2. 11= 3z +5

 6 = 3z    z= 2

3. 2s - 4 = 6

   2s=10      s= 5

4. 5r + 8 = -12

   5r = -20     r= -4

5. -6p - 3 = 9

    -6p = 12    p= -2

6. 3x + x -2 = -14

  4x = -12    x= -3

7. 5c + 2 -3c = 10

   2c = 8    c=4

8. 3 + 7n +2n = 21

  9n = 18   n=2

9. 6r + 5 - 7r =21

      -1r =16     r= -16

10. 8 - 5b= -7

      -5b = -15    b= 3

11. 6 - 4m= -10

    -4m = -4    m= 1

12. -3t + 4 =19

      -3t = 15     t= -5

13. a= 18

Answer: I think it is 39.25

Step-by-step explanation:

10/2=5

5^2=25

25*3.14=78.5

78.5/2=39.25

Answer:

y = -1/2 x + 2

Step-by-step explanation:

Which of the following equations describes the line shown below? Check all

that apply.

(-4, 4)

(2, 1)

The standard equation of a line is y = mx,+b

m is the slope

b is he y-inttercept

Get the slope

Slope m = y2-y1/x2-x1

Substitute the coordinate

M = 1-4/2-(-4)

M = -3/6

M = -1/2

Substitute m= -1/2 and (2,1) into y = mx+b

1 = -1/2(2)+b

1 = -1+b

b = 1+1

b=2

Get the equation

Recall y =mx+b

y = -1/2 x + 2

Answer:

the height when it was planted

Step-by-step explanation:

it started at 13 and grew 2.5 inches a week